(3x+6)+(5x+4)=12x

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Solution for (3x+6)+(5x+4)=12x equation:


Simplifying
(3x + 6) + (5x + 4) = 12x

Reorder the terms:
(6 + 3x) + (5x + 4) = 12x

Remove parenthesis around (6 + 3x)
6 + 3x + (5x + 4) = 12x

Reorder the terms:
6 + 3x + (4 + 5x) = 12x

Remove parenthesis around (4 + 5x)
6 + 3x + 4 + 5x = 12x

Reorder the terms:
6 + 4 + 3x + 5x = 12x

Combine like terms: 6 + 4 = 10
10 + 3x + 5x = 12x

Combine like terms: 3x + 5x = 8x
10 + 8x = 12x

Solving
10 + 8x = 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
10 + 8x + -12x = 12x + -12x

Combine like terms: 8x + -12x = -4x
10 + -4x = 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -4x = 0

Add '-10' to each side of the equation.
10 + -10 + -4x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 0 + -10
-4x = 0 + -10

Combine like terms: 0 + -10 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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